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If you are traveling and lose your credit card, but in a country that has a reasonably active Bitcoin scene, you can sell some BTC to pay bills while "over there".
This may become an issue for us.
Here is a case for having an online wallet, "travels anywhere".
That's an interesting idea! I hadn't considered storing my BTC anywhere but my Trezor. I should keep 0.1 BTC or so available on my phone just for emergencies.